Characteristic, dynamic, and near saturation regions of
Out-of-time-order correlation in Floquet Ising models
- URL: http://arxiv.org/abs/2208.08283v1
- Date: Wed, 17 Aug 2022 17:15:46 GMT
- Title: Characteristic, dynamic, and near saturation regions of
Out-of-time-order correlation in Floquet Ising models
- Authors: Rohit Kumar Shukla and Sunil Kumar Mishra
- Abstract summary: We study the out-of-time-order correlation (OTOC) in the constant field Floquet system with and without longitudinal field.
We take local spins in longitudinal and transverse directions as observables which are local and non-local.
In the dynamic region, OTOCs show power-law growth in both models, the integrable (without longitudinal field) as well as the nonintegrable (with longitudinal field)
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We study characteristic, dynamic, and saturation regimes of the
out-of-time-order correlation (OTOC) in the constant field Floquet system with
and without longitudinal field. In the calculation of OTOC, we take local spins
in longitudinal and transverse directions as observables which are local and
non-local in terms of Jordan-Wigner fermions, respectively. We use the exact
analytical solution of OTOC for the integrable model (without longitudinal
field term) with transverse direction spins as observables and numerical
solutions for other integrable and nonintegrable cases. OTOCs generated in both
cases depart from unity at a kick equal to the separation between the
observables when the local spins in the transverse direction and one additional
kick is required when the local spins in the longitudinal direction. The number
of kicks required to depart from unity depends on the separation between the
observables and is independent of the Floquet period and system size. In the
dynamic region, OTOCs show power-law growth in both models, the integrable
(without longitudinal field) as well as the nonintegrable (with longitudinal
field). The exponent of the power-law increases with increasing separation
between the observables. Near the saturation region, OTOCs grow linearly with a
very small rate.
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